Engvall registered an assist, four shots on goal and two PIM in Saturday's 4-3 overtime loss to the Devils.
The Islanders recalled Engvall from AHL Bridgeport on Saturday.
Engvall was placed on waivers Sunday, Chris Johnston of The Athletic reports.
Engvall scored a goal on three shots in Thursday's 3-2 loss to the Hurricanes.
Engvall (rest) practiced with the Islanders on Friday, Andrew Gross of Newsday reports.
Engvall will be a healthy scratch for Wednesday's tilt against Pittsburgh, per Andrew Gross of Newsday.
Engvall notched a pair of assists in Monday's 4-1 victory over New Jersey.
Engvall scored a goal on a team-high six shots in Thursday's 3-2 win over the Canadiens.
Engvall (upper body) is good to play Thursday against Montreal, coach Patrick Roy told Andrew Gross of Newsday on Wednesday.
Engvall (upper body) won't play Tuesday against Vegas, according to Andrew Gross of Newsday.